Question

When a supply of hydrogen gas is held in a 4 liter container at 47°C it exerts a pressure
of 800 torr. The supply is moved to a 2000 mL container, and cooled to -113°C. What is
the new pressure of the confined gas?

Answer 1

Answer:

P₂ = 800 torr

Explanation:

Given data:

Initial Volume = 4 L

Initial Temperature = 47°C (47+273= 320 K)

Initial pressure = 800 torr

Final volume = 2000 mL (2000/1000 = 2 L)

Final temperature = -113°C (-113+273 =160 K )

Final pressure = ?

Solution:

Formula:  

P₁V₁/T₁ = P₂V₂/T₂  

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

Solution:

P₂ = P₁V₁ T₂/ T₁ V₂  

P₂ = 800 torr × 4 L × 160 K / 320 K × 2 L  

P₂ = 512000 torr .L. K / 640 k.L

P₂ = 800 torr

Answer 2

The new pressure of the confined gas is 800 torr.

General gas equation

The new pressure of the gas is calculated by applying general gas equation as shown below;

$\frac{P_1V_1 }{T_1} = \frac{P_2 V_2}{T_2} \\\\P_2 = \frac{P_1V_1 T_2}{T_1V_2}$

where;

• P1 is 800 torr
• T1 is 47⁰C = 320 K
• V₁ is 4 Liters
• T₂ is -113⁰C = 160 K
• V₂ is 2000 mL = 2 Liters
• P₂ is ?

The new pressure of the confined gas is calculated as follows;

$P_2 = \frac{800 \times 4 \times 160}{320 \times 2} \\\\P_2= 800 \ torr$

Thus, the new pressure of the confined gas is 800 torr.

Learn more about gas equation here: https://brainly.com/question/4147359